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Algebraic Identities (a-b)³

Question 1vMu...

Question

Question 1(v)
Multiply the binomials:
$(2 p q + 3 q^{2}) a n d (3 p q - 2 q^{2})$

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Solution

$(2 p q + 3 q^{2}) (3 p q - 2 q^{2}) = 2 p q \times (3 p q - 2 q^{2}) + 3 q^{2} (3 p q - 2 q^{2})$
$= 2 p q \times 3 p q - 2 p q \times 2 q^{2} + 3 q^{2} \times 3 p q - 3 q^{2} \times 2 q^{2}$
$= 6 p^{2} q^{2} - 4 p q^{3} + 9 p q^{3} - 6 q^{4}$
$= 6 p^{2} q^{2} + 5 p q^{3} - 6 q^{4}$

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Algebraic Identities (a-b)³

Standard VIII Mathematics

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